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Journal articles
Projection schemes for fluid flows through a porous interface
Abstract : This paper presents a numerical method to simulate an incompressible fluid through an immersed porous interface. The interface is modeled by a surface measure term in the Navier-Stokes equations and it is characterized by a resistance parameter. This approach can be used for example to model valves or to simulate blood flood through an immersed stent. Starting from a monolithic formulation proposed recently, a fractional step algorithm is derived. The difficult point is that this formulation is singular when the resistance vanishes, which can be a serious issue in some applications. We show that an appropriate Nitsche's treatment of the interface condition fixes this problem and ensures uniform energy stability in time, for any non-negative value of the resistance. The theoretical stability and convergence results are illustrated with numerical experiments
Cited literature [22 references]
https://hal.inria.fr/inria-00462103
Contributor : Miguel Angel Fernández <>
Submitted on : Monday, March 8, 2010 - 5:30:07 PM
Last modification on : Thursday, December 10, 2020 - 12:32:41 PM
Long-term archiving on: : Friday, June 18, 2010 - 8:06:14 PM
Contributor : Miguel Angel Fernández <>
Submitted on : Monday, March 8, 2010 - 5:30:07 PM
Last modification on : Thursday, December 10, 2020 - 12:32:41 PM
Long-term archiving on: : Friday, June 18, 2010 - 8:06:14 PM
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RR-7225.pdf
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